Answer:
181 units²
Step-by-step explanation:
Let's break up the polygon into 3 shapes
Step 1: Area of the left rectangle
4(7) = 28 units²
Step 2: Area of middle rectangle
9(13) = 117 units²
Step 3: Area of top square
6² = 36 units²
Step 4: Add them all up
28 + 117 + 36 = 181 units²
For this case we have the following expression:
h (t) = - 16t ^ 2 + 122t + 10
We look for the maximum of the function, for this, we derive:
h '(t) = - 32t + 122
We match zero:
-32t + 122 = 0
We cleared t:
t = 122/32
t = 3.8125 s
Then, the maximum height will be:
h (3.8125) = - 16 * (3.2185) ^ 2 + 122 * (3.2185) +10
h (3.8125) = 236.92 feet
Answer:
It takes the boulder to reach maximum height about:
t = 3.8125 s
the boulders maximum height is:
236.92 feet
If there are no options to choose from I’d say 25 but if there are options please post them
Answer:
k=45
Step-by-step explanation:
Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that 
. 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have 
. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides 
as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.
